# Rose, David

Associate Professor

Phillips Hall 302

davidev@email.unc.edu

Website

## Research Interests

Low-dimensional topology, representation theory, homological algebra, category theory

## Professional Background

BS, The College of William and Mary, 2006; CASt Part III, Christ's College, University of Cambridge, 2007; Ph.D., Duke University, 2012; Busemann Assistant Professor, Postdoc, University of Southern California, 2012-2016

## Research Synopsis

I am broadly interested in low-dimensional topology, representation theory, and their interactions. My current work aims to prove structural results concerning homological and quantum invariants of knots and links, with an eye towards topological applications. I am also interested in various related structures, for example, categorified quantum groups, quantum invariants of 3-manifolds, skein modules, and in the homological algebra underlying their study.

## Representative Publications

*Sutured Annular Khovanov-Rozansky Homology*

H. Queffelec and D.E.V. Rose,

Transactions of the American Mathematical Society, 370, 1285-1319, 2018

*The Sl(N) Foam 2-Category: A Combinatorial formulation of Khovanov-Rozansky Homology via Categorical Skew Howe Duality*

H. Queffelec and D.E.V. Rose,

Advances in Mathematics, 302, 1251-1339, 2016

*Deformations of Colored Sl(N) Link Homologies Via Foams*

D.E.V. Rose and P. Wedrich,

Geometry & Topology, 20, 3431–3517, 2016